**Minor of a matrix :**

Let |A| = |[a ij]| be a determinant of order n.

The minor of an arbitrary element a_{ij} is the determinant obtained by deleting the i^{th} row and j^{th} column in which the element a_{ij} stands. The minor of a_{ij} by M_{ij}.

**Problem 1 :**

Find the minor and cofactor of the following matrix.

**Solution :**

**Problem**** 2 :**

Find the minor and cofactor of the following matrix.

**Solution :**

Minor of a_{11} = 4-3 ==> 1

Minor of a_{12} = 4-2 ==> 2

Minor of a_{13} = 3-2 ==> 1

Minor of a_{21} = 8-9 ==> -1

Minor of a_{22} = 4-6 ==> -2

Minor of a_{23} = 3-4 ==> -1

Minor of a_{31} = 2-3 ==> -1

Minor of a_{32} = 1-3 ==> -2

Minor of a_{33} = 1-2 ==> -1

**Problem 3 :**

Find the minor and cofactor of the following matrix.

**Solution :**

Minor of a_{11} = 4-3 ==> 1

Minor of a_{12} = 12-10 ==> 2

Minor of a_{13} = 9-10 ==> -1

Minor of a_{21} = 8-3 ==> 5

Minor of a_{22} = 24-10 ==> 14

Minor of a_{23} = 18-20 ==> -2

Minor of a_{31} = 2-1 ==> 1

Minor of a_{32} = 6-3 ==> 3

Minor of a_{33} = 6-6 ==> 0

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